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A family has 4 earning members P, Q, R, S. In 2011 their respective shares in the total income was 25%, 35%, 10%, 30% respectively. They spend 40% of the total income and save the remaining. In 2012 P's salary went up by 20%, Q's salary increased 20% and R's salary decreased by 10% and S's salary decreased by 20%. In 2012 what percent of total family income should they spend to save same amount as in 2011?
  • a)
    41
  • b)
    42.7
  • c)
    42.75
  • d)
    42.8
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A family has 4 earning members P, Q, R, S. In 2011 their respective s...
Let the total salary of the family be 100
In 2011 the family saved = 100 - 40 = 60
Total income in 2012 = (25*1.2) + (35*1.2) + (10*0.9) + (30*0.8) = 105
In order to save 60, they have to spend = 105 - 60 = 45.
Required % = 45/105 * 100 = 200/7 = 42.8%
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Community Answer
A family has 4 earning members P, Q, R, S. In 2011 their respective s...
In 2011, the family had a total income and each member had a specific share in that income. They spent 40% of the total income and saved the remaining amount.

Let's assume the total income in 2011 to be 100 units.

The individual shares of P, Q, R, and S in 2011 were 25%, 35%, 10%, and 30% respectively.

So, the incomes of P, Q, R, and S in 2011 were 25 units, 35 units, 10 units, and 30 units respectively.

Total income spent by the family in 2011 = 40% of 100 units = 40 units.

Total savings by the family in 2011 = Total income - Total expenditure = 100 units - 40 units = 60 units.

Now, let's calculate the individual incomes in 2012 after the changes in their salaries:

P's salary increased by 20%, so P's income in 2012 = 25 units + 20% of 25 units = 25 units + 5 units = 30 units.

Q's salary increased by 20%, so Q's income in 2012 = 35 units + 20% of 35 units = 35 units + 7 units = 42 units.

R's salary decreased by 10%, so R's income in 2012 = 10 units - 10% of 10 units = 10 units - 1 unit = 9 units.

S's salary decreased by 20%, so S's income in 2012 = 30 units - 20% of 30 units = 30 units - 6 units = 24 units.

Total income of the family in 2012 = 30 units + 42 units + 9 units + 24 units = 105 units.

Now, we need to find the percentage of total income that the family should spend in 2012 to save the same amount as in 2011, which is 60 units.

Percentage of income to be spent = (60 units / 105 units) * 100% = 57.14%.

But, we need to find the answer in terms of options provided.

The closest option to 57.14% is 42.8% (option D).

Therefore, option D is the correct answer.
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A family has 4 earning members P, Q, R, S. In 2011 their respective shares in the total income was 25%, 35%, 10%, 30% respectively. They spend 40% of the total income and save the remaining. In 2012 P's salary went up by 20%, Q's salary increased 20% and R's salary decreased by 10% and S's salary decreased by 20%. In 2012 what percent of total family income should they spend to save same amount as in 2011?a)41b)42.7c)42.75d)42.8Correct answer is option 'D'. Can you explain this answer?
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A family has 4 earning members P, Q, R, S. In 2011 their respective shares in the total income was 25%, 35%, 10%, 30% respectively. They spend 40% of the total income and save the remaining. In 2012 P's salary went up by 20%, Q's salary increased 20% and R's salary decreased by 10% and S's salary decreased by 20%. In 2012 what percent of total family income should they spend to save same amount as in 2011?a)41b)42.7c)42.75d)42.8Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A family has 4 earning members P, Q, R, S. In 2011 their respective shares in the total income was 25%, 35%, 10%, 30% respectively. They spend 40% of the total income and save the remaining. In 2012 P's salary went up by 20%, Q's salary increased 20% and R's salary decreased by 10% and S's salary decreased by 20%. In 2012 what percent of total family income should they spend to save same amount as in 2011?a)41b)42.7c)42.75d)42.8Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A family has 4 earning members P, Q, R, S. In 2011 their respective shares in the total income was 25%, 35%, 10%, 30% respectively. They spend 40% of the total income and save the remaining. In 2012 P's salary went up by 20%, Q's salary increased 20% and R's salary decreased by 10% and S's salary decreased by 20%. In 2012 what percent of total family income should they spend to save same amount as in 2011?a)41b)42.7c)42.75d)42.8Correct answer is option 'D'. Can you explain this answer?.
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